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Finding the Third Proportional to 610,448 and 897,402

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Solution

The third proportional to 610,448 and 897,402 is: 1,319,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,448 : 897,402 = 897,402 : x
  2. Step 2: Convert to fraction form
    610,448/897,402 = 897,402/x
  3. Step 3: Cross multiply
    610,448x = 897,402 × 897,402
  4. Step 4: Simplify right side
    610,448x = 805,330,349,604
  5. Step 5: Solve for x
    x = 805,330,349,604/610,448
  6. Step 6: Final answer
    x = 1,319,244.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.